Commuting Toeplitz operators with biharmonic symbols
Functional Analysis
2026-04-22 v1 Complex Variables
Operator Algebras
Abstract
We investigate the commutant problem for Toeplitz operators on the Bergman space of the unit disk whose symbols belong to a subclass of biharmonic functions. We obtain a complete characterization of when two such Toeplitz operators commute. As a consequence, we derive a full description of normal Toeplitz operators with symbols in this class.
Cite
@article{arxiv.2604.18650,
title = {Commuting Toeplitz operators with biharmonic symbols},
author = {Aissa Bouhali and Issam Louhichi and Abdelrahman Yousef},
journal= {arXiv preprint arXiv:2604.18650},
year = {2026}
}